Finding the Fourth Proportional to 2,552.83, 3,829.40 and 798.09

Step by Step Solution

1. Step 1: Write the proportion equation
   2,552.83 : 3,829.40 = 798.09 : x
2. Step 2: Convert to fraction form
   2,552.83/3,829.40 = 798.09/x
3. Step 3: Cross multiply
   2,552.83x = 3,829.40 × 798.09
4. Step 4: Simplify right side
   2,552.83x = 3,056,182.71
5. Step 5: Solve for x
   x = 3,056,182.71/2,552.83
6. Step 6: Final answer
   x = 1,197.17